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math.FA2013★ 32 cited
Correction of a proof in "Connes' embedding conjecture and sums of hermitian squares"
Sabine Burgdorf, Ken Dykema, Igor Klep +1
We show that Connes' embedding conjecture (CEC) is equivalent to a real version of the same (RCEC). Moreover, we show that RCEC is equivalent to a real, purely algebraic statement…
math.FA2010
The truncated tracial moment problem
Sabine Burgdorf, Igor Klep
We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values inva…
math.FA2008★ 3 cited
Sums of Hermitian Squares as an Approach to the BMV Conjecture
Sabine Burgdorf
Lieb and Seiringer stated in their reformulation of the Bessis-Moussa-Villani (BMV) conjecture that all coefficients of the polynomial p(t)=Tr[(A+tB)^m], where A and B are positive…